A Strict Inequality on Spectral Radius of Nonnegative Matrices and Its Probabilistic Proof

被引：9

作者：

Dong Guohua ^{[1
]}

He Hangen ^{[1
]}

Hu Dewen ^{[1
]}

机构：

[1] Natl Univ Def Technol, Coll Mechatron & Automat, Changsha 410073, Hunan, Peoples R China

来源：

PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 3 | 2008年

关键词：

Nonnegative Matrices; Irreducible; Spectral Radius; infinity-Norms; Strict Inequality; Probabilistic Proof;

D O I：

10.1109/CHICC.2008.4605719

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

It's a well known fact that rho(A)<parallel to A parallel to(infinity) holds for any nonnegative and irreducible matrix. A probabilistic proof is proposed, together with a parallel corollary and an interesting interpretation.

引用

页码：138 / 140

页数：3